Atkin-Lehner |
2+ 5+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
82400d |
Isogeny class |
Conductor |
82400 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-164800 = -1 · 26 · 52 · 103 |
Discriminant |
Eigenvalues |
2+ 0 5+ -3 2 3 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5,20] |
[a1,a2,a3,a4,a6] |
Generators |
[1:4:1] [4:8:1] |
Generators of the group modulo torsion |
j |
-8640/103 |
j-invariant |
L |
9.8964394014699 |
L(r)(E,1)/r! |
Ω |
2.7420662503991 |
Real period |
R |
1.8045587702416 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999873 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
82400k1 82400m1 |
Quadratic twists by: -4 5 |